Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

Mathematica provides hundreds of options to control every aspect of the construction and styling of graphics. The options are carefully designed to be both flexible and ...

ListInterpolation[array] constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given. ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

Derived distributions are modifications to existing distributions. There is a variety of ways in which you can arrive at modified distributions, including functions of random ...

Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

PolyhedronData[poly, " property"] gives the value of the specified property for the polyhedron named poly.PolyhedronData[poly] gives an image of the polyhedron named ...

Mathematica's symbolic architecture and dynamic interface make possible a uniquely flexible and convenient approach to charting and information visualization. With ...